Question

the number of 6 digit even numbers that can be made from the number 214635 are

Answer 1

it can be 214356 or 213546 or many more.
but you will have only to keep one thing in your mind that an even no. must be in it's unit place.

Answer 2

Answer:

720 ways

Step-by-step explanation:

Given : Number is 214635

To find : The number of 6 digit even numbers that can be made from the number 214635 are

Solution :

The given number consists of 6 distinct digits

1, 2, 3, 4, 5 and 6

For a number to be even, units digit should be divisible by 2.

Hence, the last digit of the number should be either 2 or 4 or 6.

So, the unit digit has chosen in 3! ways

If one digit is fixed at unit's place, then rest of the 5 places can

be chosen from the remaining 5 digits in 5! ways,

Hence, total number of 6 digit numbers that can be made will be

$3!\times 5!= 3\times 2\times 1\times 5\times 4\times 3\times 2\times 1=720$

Therefore, There are 720 ways in which the number of 6 digit can be form by the number 214635.